Select the graph which satisfies all of the given conditions. f' (-3) = f' (2) = 0 Increasing on (-3, 2) U (2, 00) Decreasing on (-0, –3) g" (-) = f" (2) = 0 Concave upward on (-00,-)U(2, 00) Concave downward on (-,2)

Find an equation for the graph sketched below f(x) = 8 7 6 5 4- -5 -4 -3 -2 -1 3 2 1 -1 -2 ~ 3 -3 4 -5 -6 -7 -8+ 1 2 3 4 5 वि

2t -8 -7 -6 5 -4 -3 -2 -1 I 2 3 4 5 6 7 -2 -3 -5 -7 -8- The graph above is the function `f(x)'. Let 's(x)=x^3*f(x)` 's'(4) = Preview 6

find the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2 + 25x +27

Please explain how to do this

The graph of f'(x) is shown in the figure below. This is not the graph of f(x). 1 (a) (b) f(3) = f(2) 2 List the following in increasing order. f(4) - f(2) 2 (c) f(4) - f(3) 3 4 f'(x) ---Select--- v <---Select--- v <---Select--- I

Draw a graph with the following properties

The revenue (in billions of dollars) from artificial intelligence for enterprise applications in a country for the years from 2016 through 2027 can be modeled by y = 0.872x'./62 where x is the number of years after 2015. (a) Graph the function for the years from 2015 through 2032. (b) Is the function increasing or decreasing over this period of time? (c) Is the graph concave up or down? (d) What is the revenue in 2035?

A plant manager has worked hard over the past years using various innovative means to increase the number of items produced per employee in his plant and has noticed that the number of items ?(?) produced per employee per day over the past 10 years is given by ?(?) = 9? where ? is the number of ?+1 years from 10 years ago. Sketch the graph of the function on (0, ∞). That is, find any extrema, all intervals of increase and decrease, intervals of concavity, any points of inflection and determine the behavior at infinity and any singular points. Based on your graph, what is happening with the number of items ?(?) produced per employee per day?(Note: checking your work with a graphing calculator is fine but you must show all your work to get to each of the answers in the curve sketch) VIEW IMAGE

Let * +3 f(x) = x +7 f'(- 2) = %3D